1792116480 has 864 divisors, whose sum is σ = 7829337600. Its totient is φ = 340623360.

The previous prime is 1792116457. The next prime is 1792116481. The reversal of 1792116480 is 846112971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1792116481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61797106 + ... + 61797134.

Almost surely, 2^1792116480 is an apocalyptic number.

1792116480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1792116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914668800).

1792116480 is an abundant number, since it is smaller than the sum of its proper divisors (6037221120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1792116480 is a wasteful number, since it uses less digits than its factorization.

1792116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1792116480 is about 42333.3967453593. The cubic root of 1792116480 is about 1214.6619052845.

The spelling of 1792116480 in words is "one billion, seven hundred ninety-two million, one hundred sixteen thousand, four hundred eighty".